# Worksheet: Series Circuits

In this worksheet, we will practice calculating the potential difference, current, and resistance at different points within simple series circuits.

Q1:

Four identical resistors are placed in series in a circuit. The resistance of all four resistors together is 36 Ω. What is the resistance of each resistor individually?

Q2:

A battery supplying 12 V is connected in series with two resistors. The potential difference across the first resistor is 4 V. What is the potential difference across the second resistor?

Q3:

Three identical resistors are connected in series in a circuit. A voltmeter is used to measure the potential difference across all three of them, and it is found to be 18 V. What is the potential difference across each resistor individually?

Q4:

The circuit in the diagram consists of two resistors in series, with ammeters, , , and , placed at different points in the circuit. reads 4 A. What is the current given by the second ammeter, ?

What is the current given by the third ammeter, ?

Q5:

A student sets up the circuit shown in the diagram. She uses a voltmeter to measure the potential difference across and finds it to be 4 V. She then uses a voltmeter to measure the potential difference across and finds it to be 10 V. What is the potential difference across both resistors together? Q6:

The circuit in the diagram consists of two resistors in series. What is the total resistance of the two resistors? Q7:

A student sets up the circuit shown in the diagram. If the value of is 3 Ω, what is the current through the circuit? Q8:

The circuit shown in the diagram consists of three resistors connected in series with a cell. The first resistor has a resistance of , the second resistor has a resistance of , and the third resistor has a resistance of . The cell provides a potential difference of 24 V. The current through the circuit is 0.1 A. What is the value of ? Q9:

The diagram shows a circuit consisting of a cell and two resistors connected in series. If the total resistance of the circuit is 20 Ω, what is the value of ? Q10:

The diagram shows two circuits. Are the two circuits equivalent to each other? If not, why not? • ANo, because the current goes a different way around the circuit in the second circuit.
• BNo, because the resistors are in different positions.
• CNo, because the cell is the opposite way around in the second circuit.
• DNo, because the first circuit shows which side of the cell is positive and which is negative but the second circuit does not.
• EYes, the two circuits are equivalent.

Q11:

The circuit shown in the diagram has a current of 0.5 A through it. What is the value of the potential difference across the resistor labeled ? Q12:

The circuit shown in the diagram has a current of 0.5 A through it. What is the value of ? Q13:

A student sets up the circuit shown in the diagram. The voltmeter reads 10 V. What is the potential difference across all three resistors together? Q14:

The diagram shows four circuits. Which circuit shows two diodes and a filament lamp connected in series? • A(a)
• B(b)
• C(d)
• D(c)

Q15:

The diagram shows four circuits. Which circuit contains two resistors in series? • A(b)
• B(c)
• C(d)
• D(a)